2018. October 17. 16:00
Building H, room 306
Department of Analysis
Lecturer: Asger Kjærulff Jensen
Given two pure bipartite quantum states |ψ〉 and |φ〉, Nielsen’s theorem states that |ψ〉 can be exactly transformed into |φ〉 via local quantum operations and classical communication (LOCC), if and only if P⪯Q (P is majorized by Q). Here P and Q are the squared Schmidt coefficients of |ψ〉 and |φ〉, respectively. From a quantum resource theory perspective, this motivates determining for which P and Q the relation P⊗N⪯Q⊗N holds for large N, as this relates to asymptotic extraction rates between quantum states. This talk explores and provides a solution to this problem, yielding an expression for the exact asymptotic extraction rate between pure bipartite states: minα∈[0,∞]Hα(P)Hα(Q).